ADVANCED MATHEMATICAL MODELING OF POLYCYSTIC OVARIAN SYNDROME (PCOS): HORMONAL DYNAMICS, METABOLIC INTERACTIONS, AND THERAPEUTIC SIMULATIONSID: 1877 Abstract :Polycystic Ovarian Syndrome (PCOS) Is A Multifactorial Endocrine Disorder Affecting Women Of Reproductive Age And Is Characterized By Menstrual Irregularities, Infertility, Hyperandrogenism, And Metabolic Dysfunctions Such As Insulin Resistance. Despite Extensive Clinical Research, The Precise Etiology Of PCOS Remains Unclear, Resulting In Generalized And Trial-and-error–based Treatment Strategies With Inconsistent Outcomes. The Heterogeneous Nature Of PCOS Arises From Complex Interactions Among Hormonal, Metabolic, And Ovarian Regulatory Pathways, Particularly Involving Luteinizing Hormone (LH), Follicle-stimulating Hormone (FSH), Insulin, And Androgens. Mathematical Modeling Provides A Systematic Framework To Analyze These Nonlinear Interactions, Enabling Simulation Of Disease Progression And Evaluation Of Therapeutic Interventions. This Study Presents An Integrated Mathematical Modeling Approach To PCOS, Capturing Hormonal Feedback Mechanisms, Ovarian Follicular Dynamics, And Insulinmediated Metabolic Effects. Differential Equation–based Models Are Employed To Represent Interactions Between LH–FSH Imbalance, Hyperandrogenism, Insulin Resistance, And Ovulatory Dysfunction. The Framework Further Incorporates Pharmacological Interventions Such As Metformin And Clomiphene Citrate, As Well As Lifestyle Modifications Including Weight Loss, Exercise, And Dietary Regulation. Simulation Outcomes Demonstrate That Improving Insulin Sensitivity And Restoring LH– FSH Balance Significantly Reduces Androgen Excess And Enhances Ovulatory Function. The Proposed Modeling Framework Highlights The Potential Of Mathematical Tools To Reduce Empirical Treatment Approaches And Support Personalized, Predictive, And Optimized Management Strategies For PCOS. This Work Emphasizes The Role Of Applied Mathematics In Advancing Clinical Understanding And Individualized Therapy For Complex Endocrine Disorders. Keywords— PCOS, Mathematical Modeling, Hormonal Dynamics, Insulin Resistance, Hyperandrogenism, Ovulatory DysfunctionI. |
Published:16-12-2025 Issue:Vol. 25 No. 12 (2025) Page Nos:251-254 Section:Articles License:This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. How to CitePoonam Musmade, S. M. Khairnar, Sachin Rajas, ADVANCED MATHEMATICAL MODELING OF POLYCYSTIC OVARIAN SYNDROME (PCOS): HORMONAL DYNAMICS, METABOLIC INTERACTIONS, AND THERAPEUTIC SIMULATIONS , 2025, International Journal of Engineering Sciences and Advanced Technology, 25(12), Page 251-254, ISSN No: 2250-3676. |